Cremona's table of elliptic curves

4522 = 2 · 7 · 17 · 19

Field	Data	Notes
Atkin-Lehner	2- 7- 17- 19-	Signs for the Atkin-Lehner involutions
Class	4522j	Isogeny class
Conductor	4522	Conductor
∏ cp	384	Product of Tamagawa factors cp
Δ	5355904881666304 = 28 · 74 · 176 · 192	Discriminant
Eigenvalues	2-  0 -2 7-  4 -2 17- 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-497901,-135056299]	[a1,a2,a3,a4,a6]
Generators	[-409:408:1]	Generators of the group modulo torsion
j	13650604687969870082337/5355904881666304	j-invariant
L	4.9478166750899	L(r)(E,1)/r!
Ω	0.17973145893696	Real period
R	1.1470391958542	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	36176s2 40698l2 113050e2 31654n2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 4522j2

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	0	-2	-	4	-2	-	-	-8	-6	4	2	-2	4	0	-2	-4	-10	-12	-12	10	-4	-4	-6	6

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Quadratic twists for elliptic curve 4522j2

-4	-3	5	-7	17	-19
36176s2	40698l2	113050e2	31654n2	76874u2	85918v2

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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